A mathematical theory is proposed, based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.
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Kazuo HORIUCHI, "A Fundamental Theory for Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 8, pp. 2149-2151, August 2003, doi: .
Abstract: A mathematical theory is proposed, based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_8_2149/_p
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@ARTICLE{e86-a_8_2149,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Fundamental Theory for Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales},
year={2003},
volume={E86-A},
number={8},
pages={2149-2151},
abstract={A mathematical theory is proposed, based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - A Fundamental Theory for Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2149
EP - 2151
AU - Kazuo HORIUCHI
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2003
AB - A mathematical theory is proposed, based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.
ER -